Gruneisen parameter

Here we assume a volume dependence of the Gruneisen parameter... 

Vo is the Gruneisen parameter under standard pressure and temperatures... 

Figure 4.20. Gruneisen parameter versus pressure for different regimes are indicated. Pluses indicate properties of stishovite phase, half-filled circles and closed circles indicate properties of high-density molten material, whereas open triangles and open circles and upper branch indicate behavior of coesitelike phase (Simakov and Trunin, 1990).

For many condensed media, the Mie-Gruneisen equation of state, based on a finite-difference formulation of the Gruneisen parameter (4.18), can be used to describe shock and postshock temperatures. The temperature along the isentrope (Walsh and Christian, 1955) is given by... 

DETERMINATION OF THE SCALING EXPONENT FROM THE GRUNEISEN PARAMETER... 

VI. THE NEGATIVE GRUNEISEN PARAMETER AN ELASTIC CASIMIR EFFECT ... 

Compare with Gruneisen Parameter, which is described under "Detonation, Equations of State "Mie-Griineisen Equation of State in Vol 4, p D289-L)... 

Y Gruneisen parameter co Vibrational frequency E Band gap energy... 

Fig. 7.16. Experimental and calculated equation of state for (a) MgO and (b) CaO taken from Bukowinski (1985). Both calculated isothermal compression data and Hugoniot data (with shading representing uncertainty due to possible errors in the Gruneisen parameter) are shown. See original text for details of sources of experimental data (after Bukowinski, 1985 reproduced with the publisher s permission).

More recently, Boness et al. (1986) calculated the band structure of both e-Fe and 7-Fe using the linear muffin-tin-orbital method under conditions corresponding to pressures ranging from 4 to 980 GPa. The results were used to, in turn, calculate electronic thermodynamic quantities such as the electronic specific heat and the electronic Gruneisen parameter, useful quantities with which to constrain models of the Earth s core. 

There are two possible definitions of the Gruneisen parameter, one microscopic and the other macroscopic. The microscopic definition involves a model for interactions on an atomic level, while the macroscopic definition involves measurable parameters. 

Extending Eqs. (6) and (7) one step further, Jindal and Dlott [20] introduced a uniaxial mode-GrUneisen parameter,... 

Gruneisen parameter level width surface concentration... 

Gruneisen parameter (y) - Defined by y = u /k Cy p, where is the cubic thermal expansion coefficient, k is the isothermal compressibility, c, is the specific heat capacity at constant volume, and p is the mass density, y is independent of temperature for most crystalline solids. [1]... 

Elastic constants depend on pressure and temperature because of the anharmonicity of the interatomic potentials. From the dependence of bulk and shear moduli on hydrostatic and uniaxial pressure, third order elastic constants and Griineisen parameters may be determined. Gruneisen parameter shows the effect of changing volume, V, on the phonon mode frequencies, cd. 

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